Search a number
-
+
212111101021 = 1918795941321
BaseRepresentation
bin1100010110001011001…
…1101000110001011101
3202021111101110100210111
43011202303220301131
511433400420213041
6241235325010021
721216211416301
oct3054263506135
9667441410714
10212111101021
1181a572066a6
12351376b3911
13170044b3241
14a3a277dd01
1557b683d981
hex3162ce8c5d

212111101021 has 8 divisors (see below), whose sum is σ = 223393707200. Its totient is φ = 200840381280.

The previous prime is 212111101001. The next prime is 212111101061. The reversal of 212111101021 is 120101111212.

It is a happy number.

212111101021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212111101021 - 25 = 212111100989 is a prime.

It is a super-2 number, since 2×2121111010212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212111100992 and 212111101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2934960 + ... + 3006361.

It is an arithmetic number, because the mean of its divisors is an integer number (27924213400).

Almost surely, 2212111101021 is an apocalyptic number.

It is an amenable number.

212111101021 is a deficient number, since it is larger than the sum of its proper divisors (11282606179).

212111101021 is a wasteful number, since it uses less digits than its factorization.

212111101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943219.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212111101021 its reverse (120101111212), we get a palindrome (332212212233).

The spelling of 212111101021 in words is "two hundred twelve billion, one hundred eleven million, one hundred one thousand, twenty-one".

Divisors: 1 19 1879 35701 5941321 112885099 11163742159 212111101021